9.1   ODE No. 1837

$$\boxed{{\displaystyle \frac{{\mathrm{d}}^3}{\mathrm{d}{x}^3}y\left(x\right)-a^2({\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^5+2{\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^3+\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right))=0}}$$

1. Problem in Latex
2. Mathematica input
3. Maple input

Mathematica: cpu = 10.857379 (sec), leaf count = 35 $$\text{DSolve}[y^{(3)}(x)-a^2(y^{\prime }(x{)}^5+2y^{\prime }(x{)}^3+y^{\prime }(x))=0,y(x),x]$$

Maple: cpu = 0.265 (sec), leaf count = 95 $$\{y\left(x\right)=\int \mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-3{\int }^{\mathit{\_}\mathit{Z}}\frac{1}{\sqrt{3{\mathit{\_}\mathit{f}}^6{a}^2+9{\mathit{\_}\mathit{f}}^4{a}^2+9{\mathit{\_}\mathit{f}}^2{a}^2+9\mathit{\_}\mathit{C}\mathit{1}}}d\mathit{\_}\mathit{f}+x+\mathit{\_}\mathit{C}\mathit{2})\mathrm{d}x+\mathit{\_}\mathit{C}\mathit{3},y\left(x\right)=\int \mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(3{\int }^{\mathit{\_}\mathit{Z}}\frac{1}{\sqrt{3{\mathit{\_}\mathit{f}}^6{a}^2+9{\mathit{\_}\mathit{f}}^4{a}^2+9{\mathit{\_}\mathit{f}}^2{a}^2+9\mathit{\_}\mathit{C}\mathit{1}}}d\mathit{\_}\mathit{f}+x+\mathit{\_}\mathit{C}\mathit{2})\mathrm{d}x+\mathit{\_}\mathit{C}\mathit{3}\}$$